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1142315000 = 23541789151
BaseRepresentation
bin100010000010110…
…0101011111111000
32221121110121120222
41010011211133320
54314413040000
6305203435212
740210342301
oct10405453770
92847417528
101142315000
11536897192
1227a685b08
13152878148
14ab9d57a8
156a443a85
hex441657f8

1142315000 has 160 divisors (see below), whose sum is σ = 2884701600. Its totient is φ = 422400000.

The previous prime is 1142314993. The next prime is 1142315003. The reversal of 1142315000 is 5132411.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 1142315000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1142315003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7564925 + ... + 7565075.

It is an arithmetic number, because the mean of its divisors is an integer number (18029385).

Almost surely, 21142315000 is an apocalyptic number.

1142315000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1142315000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1442350800).

1142315000 is an abundant number, since it is smaller than the sum of its proper divisors (1742386600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1142315000 is a wasteful number, since it uses less digits than its factorization.

1142315000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 1142315000 is about 33798.1508369911. The cubic root of 1142315000 is about 1045.3505687966.

Adding to 1142315000 its reverse (5132411), we get a palindrome (1147447411).

The spelling of 1142315000 in words is "one billion, one hundred forty-two million, three hundred fifteen thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 89 100 125 136 151 170 178 200 250 302 340 356 425 445 500 604 625 680 712 755 850 890 1000 1208 1250 1510 1513 1700 1780 2125 2225 2500 2567 3020 3026 3400 3560 3775 4250 4450 5000 5134 6040 6052 7550 7565 8500 8900 10268 10625 11125 12104 12835 13439 15100 15130 17000 17800 18875 20536 21250 22250 25670 26878 30200 30260 37750 37825 42500 44500 51340 53756 55625 60520 64175 67195 75500 75650 85000 89000 94375 102680 107512 111250 128350 134390 151000 151300 188750 189125 222500 228463 256700 268780 302600 320875 335975 377500 378250 445000 456926 513400 537560 641750 671950 755000 756500 913852 945625 1142315 1283500 1343900 1513000 1604375 1679875 1827704 1891250 2284630 2567000 2687800 3208750 3359750 3782500 4569260 5711575 6417500 6719500 7565000 8399375 9138520 11423150 12835000 13439000 16798750 22846300 28557875 33597500 45692600 57115750 67195000 114231500 142789375 228463000 285578750 571157500 1142315000